Question

4. The area of a square is 64 cm. A rectangle has the
same perimeter as the square. If the length of the
rectangle is 11 cm, find its breadth.​

Answer 1

Answer:

Breadth of Rectangle = 5 cm

Step-by-step explanation:

Area of square-:

“A = S x S”

Perimeter of a square-:

“P= 4 x S”

S = length of side of a square

P = Perimeter

A = Area

Perimeter of a Rectangle-:

“P= 2(l+b)”

P = Perimeter

L = length

B = breadth

______________________________

Given ,

Area of square = 64 cm^2 = side x side =

(Side)^2

Length of Rectangle = 11 cm

To find,

Breadth of Rectangle.

______________________

Area of square = side x side= (side)^2

Side of a square = ??

Area of square = 64 cm^2

(Side)^2 = 64 cm^2

Side = ✓64

Side = 8 cm

Side of a square = 8cm

Perimeter of square 4 x s

Side of a square = 8 cm

4 x 8 =

= 32 cm

Perimeter of square = 32 cm

According to the question,

Perimeter of square = Perimeter of

Rectangle

Then ,

Formula of perimeter of rectangle-:

2(l+b)

Perimeter of rectangle-: 32 cm

Length of Rectangle-: 11 cm = l

Breadth of Rectangle-: ?? = b

2 (11 + b) = 32 cm

22 + 2b

2b = 32 - 22

2b = 10

B = 10/2

B= 5

Therefore,

Breadth of Rectangle = 5 cm

Answer 2

Answer:

area of square is a² = 64

a is 8

perimertre of rectangle is 2(l+b)

2(l+b)=4×64

l+b=4×64/2=l+b=2×64

128-11=b

117 is breath